caa a22 4500 475750438 CHVBK 20180406123522.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1008727108728 doi (NATIONALLICENCE)springer-10.1023/A:1008727108728 Semidefinite Programming Techniques for Reduced Order Systems with Guaranteed Stability Margins [Elektronische Daten] [Belinda King, Ekkehard Sachs] In this paper, the compensator based reduced order control design framework of Burns and King (J. Vibrations and Control, vol. 4, pp. 297-323, 1998) is modified to yield low order systems with guaranteed stability margins. This result is achieved through use of a logarithmic barrier function. In addition, a reduced basis method is formulated in which the compensator equations are approximated on uneven grids; guaranteed stability margins are also included. The methods are tested numerically on a one dimensional, nonlinear, damped, hyperbolic structural control problem. Examples are provided to illustrate differences between systems designed by both reduced basis methods. Kluwer Academic Publishers, 2000 reduced order system nationallicence logarithmic barrier function nationallicence stability margin nationallicence distributed parameter control problem nationallicence King Belinda Virginia Tech, Interdisciplinary Center of Applied Mathematics, 24061, Blacksburg, VA, USA aut Sachs Ekkehard Fachbereich IV/Mathematik, Universität Trier, 54286, Trier, Germany aut Computational Optimization and Applications Kluwer Academic Publishers 17/1(2000-10-01), 37-59 0926-6003 17:1<37 2000 17 10589 https://doi.org/10.1023/A:1008727108728 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008727108728 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- King Belinda Virginia Tech, Interdisciplinary Center of Applied Mathematics, 24061, Blacksburg, VA, USA aut NATIONALLICENCE 700 1- Sachs Ekkehard Fachbereich IV/Mathematik, Universität Trier, 54286, Trier, Germany aut NATIONALLICENCE 773 0- Computational Optimization and Applications Kluwer Academic Publishers 17/1(2000-10-01), 37-59 0926-6003 17:1<37 2000 17 10589 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer